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Given the data set , what is the sample mean?
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Identify the data set given: 4, 7, 9, 10, 12.
Recall that the sample mean \( \bar{x} \) is calculated by summing all the data points and then dividing by the number of data points.
Write the formula for the sample mean:
\[ \bar{x} = \frac{\sum_{i=1}^n x_i}{n} \]
where \( x_i \) are the data points and \( n \) is the number of data points.
Calculate the sum of the data points:
\[ 4 + 7 + 9 + 10 + 12 \]
Count the number of data points, which is 5, and then divide the sum by 5 to find the sample mean.